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STUDY OF BIFURCATION AND HYPERBOLICITY IN DISCRETE DYNAMICAL SYSTEMS | ||
| Iranian Journal of Science | ||
| مقاله 1، دوره 34، شماره 1، اردیبهشت 2010، صفحه 1-12 اصل مقاله (305.09 K) | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2010.2160 | ||
| نویسندگان | ||
| L. M. SAHA* 1؛ L. M. BHARTI2؛ R. K. MOHANTY3 | ||
| 1Mathematical Sciences Foundation, N-91, Greater Kailash I, New Delhi-110048, India | ||
| 2Shyam Lal College (Evening), University of Delhi, Delhi-110032, India | ||
| 3Deparment of Mathematics, University of Delhi, Delhi-110007, India | ||
| چکیده | ||
| Bifurcations leading to chaos have been investigated in a number of one dimensional dynamical systems by varying the parameters incorporated within the systems. The property hyperbolicity has been studied in detail in each case which has significant characteristic behaviours for regular and chaotic evolutions. In the process, the calculations for invariant set have also been carried out. A broad analysis of bifurcations and hyperbolicity provide some interesting results. The fractal property, self-similarity, has also been observed for chaotic regions within the bifurcation diagram. The results of numerical calculations assume significant values. | ||
| کلیدواژهها | ||
| Hyperbolicity؛ invariant set؛ chaos؛ nonlinearity | ||
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